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Finding the Fourth Proportional to 515.90, 711.94 and 294.97

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Solution

The fourth proportional to 515.90, 711.94 and 294.97 is: 407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.90 : 711.94 = 294.97 : x
  2. Step 2: Convert to fraction form
    515.90/711.94 = 294.97/x
  3. Step 3: Cross multiply
    515.90x = 711.94 × 294.97
  4. Step 4: Simplify right side
    515.90x = 210,000.20
  5. Step 5: Solve for x
    x = 210,000.20/515.90
  6. Step 6: Final answer
    x = 407.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.